Families of Higher Genus Curves with Automorphisms Search Results

Genus		Quotient genus
Dimension of the family		Signature
Group order(s)		Group identifier
Hyperelliptic curve(s)		Cyclic trigonal curve(s)
Full automorphism group
Sort order

Results (displaying matches 1-50 of 436)

Refined Passport Label	Genus	Group	Group Order	Dimension	Signature
8.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	8	$C_2$	2	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
8.3-1.0.3-3-3-3-3-3-3-3-3-3.3	8	$C_3$	3	7	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
8.3-1.0.3-3-3-3-3-3-3-3-3-3.2	8	$C_3$	3	7	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
8.3-1.0.3-3-3-3-3-3-3-3-3-3.1	8	$C_3$	3	7	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
8.4-1.0.2-2-4-4-4-4-4-4.2	8	$C_4$	4	5	$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$
8.4-1.0.2-2-4-4-4-4-4-4.1	8	$C_4$	4	5	$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$
8.4-1.0.2-2-4-4-4-4-4-4.3	8	$C_4$	4	5	$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$
8.4-1.0.2-2-2-2-2-4-4-4-4.1	8	$C_4$	4	6	$[ 0; 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$
8.4-1.0.2-2-2-2-2-4-4-4-4.2	8	$C_4$	4	6	$[ 0; 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$
8.4-1.0.2-2-2-2-2-2-2-2-4-4.1	8	$C_4$	4	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
8.4-2.0.2-2-2-2-2-2-2-2-2-2-2.3	8	$C_2^2$	4	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
8.4-2.0.2-2-2-2-2-2-2-2-2-2-2.4	8	$C_2^2$	4	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
8.4-2.0.2-2-2-2-2-2-2-2-2-2-2.5	8	$C_2^2$	4	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
8.4-2.0.2-2-2-2-2-2-2-2-2-2-2.6	8	$C_2^2$	4	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
8.4-2.0.2-2-2-2-2-2-2-2-2-2-2.8	8	$C_2^2$	4	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
8.4-2.0.2-2-2-2-2-2-2-2-2-2-2.7	8	$C_2^2$	4	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
8.4-2.0.2-2-2-2-2-2-2-2-2-2-2.9	8	$C_2^2$	4	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
8.4-2.0.2-2-2-2-2-2-2-2-2-2-2.10	8	$C_2^2$	4	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
8.4-2.0.2-2-2-2-2-2-2-2-2-2-2.11	8	$C_2^2$	4	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
8.4-2.0.2-2-2-2-2-2-2-2-2-2-2.13	8	$C_2^2$	4	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
8.4-2.0.2-2-2-2-2-2-2-2-2-2-2.12	8	$C_2^2$	4	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
8.4-2.0.2-2-2-2-2-2-2-2-2-2-2.15	8	$C_2^2$	4	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
8.4-2.0.2-2-2-2-2-2-2-2-2-2-2.14	8	$C_2^2$	4	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
8.4-2.0.2-2-2-2-2-2-2-2-2-2-2.1	8	$C_2^2$	4	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
8.4-2.0.2-2-2-2-2-2-2-2-2-2-2.2	8	$C_2^2$	4	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
8.5-1.0.5-5-5-5-5-5.5	8	$C_5$	5	3	$[ 0; 5, 5, 5, 5, 5, 5 ]$
8.5-1.0.5-5-5-5-5-5.1	8	$C_5$	5	3	$[ 0; 5, 5, 5, 5, 5, 5 ]$
8.5-1.0.5-5-5-5-5-5.2	8	$C_5$	5	3	$[ 0; 5, 5, 5, 5, 5, 5 ]$
8.5-1.0.5-5-5-5-5-5.3	8	$C_5$	5	3	$[ 0; 5, 5, 5, 5, 5, 5 ]$
8.5-1.0.5-5-5-5-5-5.4	8	$C_5$	5	3	$[ 0; 5, 5, 5, 5, 5, 5 ]$
8.5-1.0.5-5-5-5-5-5.6	8	$C_5$	5	3	$[ 0; 5, 5, 5, 5, 5, 5 ]$
8.5-1.0.5-5-5-5-5-5.7	8	$C_5$	5	3	$[ 0; 5, 5, 5, 5, 5, 5 ]$
8.5-1.0.5-5-5-5-5-5.8	8	$C_5$	5	3	$[ 0; 5, 5, 5, 5, 5, 5 ]$
8.5-1.0.5-5-5-5-5-5.9	8	$C_5$	5	3	$[ 0; 5, 5, 5, 5, 5, 5 ]$
8.5-1.0.5-5-5-5-5-5.10	8	$C_5$	5	3	$[ 0; 5, 5, 5, 5, 5, 5 ]$
8.5-1.0.5-5-5-5-5-5.11	8	$C_5$	5	3	$[ 0; 5, 5, 5, 5, 5, 5 ]$
8.5-1.0.5-5-5-5-5-5.12	8	$C_5$	5	3	$[ 0; 5, 5, 5, 5, 5, 5 ]$
8.5-1.0.5-5-5-5-5-5.13	8	$C_5$	5	3	$[ 0; 5, 5, 5, 5, 5, 5 ]$
8.5-1.0.5-5-5-5-5-5.14	8	$C_5$	5	3	$[ 0; 5, 5, 5, 5, 5, 5 ]$
8.5-1.0.5-5-5-5-5-5.15	8	$C_5$	5	3	$[ 0; 5, 5, 5, 5, 5, 5 ]$
8.5-1.0.5-5-5-5-5-5.16	8	$C_5$	5	3	$[ 0; 5, 5, 5, 5, 5, 5 ]$
8.6-2.0.2-3-3-6-6-6.1	8	$C_6$	6	3	$[ 0; 2, 3, 3, 6, 6, 6 ]$
8.6-2.0.2-3-3-6-6-6.2	8	$C_6$	6	3	$[ 0; 2, 3, 3, 6, 6, 6 ]$
8.6-2.0.2-3-3-6-6-6.3	8	$C_6$	6	3	$[ 0; 2, 3, 3, 6, 6, 6 ]$
8.6-2.0.2-3-3-6-6-6.4	8	$C_6$	6	3	$[ 0; 2, 3, 3, 6, 6, 6 ]$
8.6-2.0.2-2-6-6-6-6.1	8	$C_6$	6	3	$[ 0; 2, 2, 6, 6, 6, 6 ]$
8.6-2.0.3-3-3-3-6-6.1	8	$C_6$	6	3	$[ 0; 3, 3, 3, 3, 6, 6 ]$
8.6-2.0.3-3-3-3-6-6.2	8	$C_6$	6	3	$[ 0; 3, 3, 3, 3, 6, 6 ]$
8.6-2.0.3-3-3-3-6-6.3	8	$C_6$	6	3	$[ 0; 3, 3, 3, 3, 6, 6 ]$
8.6-2.0.3-3-3-3-6-6.4	8	$C_6$	6	3	$[ 0; 3, 3, 3, 3, 6, 6 ]$